(* Advanved properties ******************************************************)
-lemma crr_append_sn: ∀L,K,T. L ⊢ 𝐑⦃T⦄ → K @@ L ⊢ 𝐑⦃T⦄.
+lemma crr_append_sn: ∀L,K,T. ⦃G, L⦄ ⊢ 𝐑⦃T⦄ → K @@ ⦃G, L⦄ ⊢ 𝐑⦃T⦄.
#L #K0 #T #H elim H -L -T /2 width=1/
#L #K #V #i #HLK
lapply (ldrop_fwd_length_lt2 … HLK) #Hi
lapply (ldrop_O1_append_sn_le … HLK … K0) -HLK /2 width=2/ -Hi /2 width=3/
qed.
-lemma trr_crr: ∀L,T. ⋆ ⊢ 𝐑⦃T⦄ → L ⊢ 𝐑⦃T⦄.
+lemma trr_crr: ∀L,T. ⋆ ⊢ 𝐑⦃T⦄ → ⦃G, L⦄ ⊢ 𝐑⦃T⦄.
#L #T #H lapply (crr_append_sn … H) //
qed.
]
qed.
-lemma crr_inv_labst_last: ∀L,T,W. ⋆.ⓛW @@ L ⊢ 𝐑⦃T⦄ → L ⊢ 𝐑⦃T⦄.
+lemma crr_inv_labst_last: ∀L,T,W. ⋆.ⓛW @@ ⦃G, L⦄ ⊢ 𝐑⦃T⦄ → ⦃G, L⦄ ⊢ 𝐑⦃T⦄.
/2 width=4/ qed-.
lemma crr_inv_trr: ∀T,W. ⋆.ⓛW ⊢ 𝐑⦃T⦄ → ⋆ ⊢ 𝐑⦃T⦄.